78318 has 24 divisors (see below), whose sum is σ = 179400. Its totient is φ = 24624.

The previous prime is 78317. The next prime is 78341. The reversal of 78318 is 81387.

It is a super-2 number, since 2×78318² = 12267418248, which contains 22 as substring.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 78291 and 78300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228 + ... + 456.

It is an arithmetic number, because the mean of its divisors is an integer number (7475).

2⁷⁸³¹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89700).

78318 is an abundant number, since it is smaller than the sum of its proper divisors (101082).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78318 is a wasteful number, since it uses less digits than its factorization.

78318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 253 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 78318 is about 279.8535331205. The cubic root of 78318 is about 42.7845724232.

The spelling of 78318 in words is "seventy-eight thousand, three hundred eighteen".